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Finding the Fourth Proportional to 254,138.15, 381,126.92 and 85,619.20

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Solution

The fourth proportional to 254,138.15, 381,126.92 and 85,619.20 is: 128,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,138.15 : 381,126.92 = 85,619.20 : x
  2. Step 2: Convert to fraction form
    254,138.15/381,126.92 = 85,619.20/x
  3. Step 3: Cross multiply
    254,138.15x = 381,126.92 × 85,619.20
  4. Step 4: Simplify right side
    254,138.15x = 32,631,781,560.77
  5. Step 5: Solve for x
    x = 32,631,781,560.77/254,138.15
  6. Step 6: Final answer
    x = 128,401.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.